The residually weakly primitive pre-geometries of the Suzuki simple groups


Abstract


We determine all pre-geometries of rank \geq 4, on which a Suzuki  simple group Sz(q), with q an odd power of two, acts residually  weakly primitively (Rwpri).  These pre-geometries arise from  eleven constructions detailed at the end of the paper.


DOI Code: 10.1285/i15900932v20n1p1

Keywords: Coset geometries; Suzuki simple groups; Residually weakly primitive

Classification: 51E24; 20D08

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